The riesz integral and an Lp - Lq estimate for the cauchy problem of the wave operator

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Abstract

In 1949, M. Riesz [3] generalized the Riemann- Liouville integral of one-variable to high dimensional Euclidean spaces and obtained a powerful method now known as the Riesz integral for studying wave operators. In this paper we apply the Riesz integral to get the global space-time estimate.

Original languageEnglish
Pages (from-to)1027-1038
Number of pages12
JournalRocky Mountain Journal of Mathematics
Volume24
Issue number3
DOIs
StatePublished - 1994

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